Please help
15. The scale of a map is 1 inch = 24 miles. How many miles does 125 inches represent?
25 miles
31.25 miles
62.5 miles
49.26 miles
My answer is 25 miles
16. The ramp shown below is used to move crates of fruit to loading docks of different heights. When the horizontal distance AB is 12, meters, the heights of the loading dock, BC is 4 meters. What is the height of the loading dock DE?
12m
8m
9m
15m
My answer 15
17. A bag contains 10 white gold balls and 6 striped gold balls. A golfer wants to add 112 golf balls to the bag. He wants the ratio of whit to striped golf balls to remain the same. How many of each should he add?
I'm not sure how to work this one out.
I tried dividing 112/6 then 112/4
19. Tell whether the pair of polygons is similar. Explain why or why not
1ST POLYGON IS PQ-8FT, QR-13FT, RS-8FT,
2ND POLYGON IS TU-5.2FT, UV-2.4FT, VW-5.2FT
My answer is 8/13=5.2/2.4 = 67.6/19.2
8/13=3.2/2.4=41.6/19.2
So answer no?
Not sure if my equation set up right
Number 15, all you have to do is multiply 1.25 and 25 then divide by 1 and you get 31.25.
I'm stumped on your first problem. 125 inches would represent 24 * 125 = 3,000 miles
16. Can't see the drawing below.
17.
10/16 = w/112
16w = 1120
w = 70 white balls
19. I don't know.
thank you Ms Sue the first one should've been 1 inch =25 then 1.25
A map is drawn with a scale of 1inch= 15 miles. Nichol measured the distance to the next town as 3 inches. How many miles does she have to travel to get to the next town?
For question 15:
To determine how many miles 125 inches represent based on the given scale (1 inch = 24 miles), you can set up a proportion.
1 inch represents 24 miles
125 inches represents x miles
To solve for x, you cross-multiply and divide:
1 inch * x miles = 125 inches * 24 miles
x = (125 inches * 24 miles) / 1 inch
Simplifying the equation, you get:
x = 3000 miles
Therefore, 125 inches represent 3000 miles.
For question 16:
Based on the information provided, the ramp creates a right triangle. You can use the concept of similar triangles and the properties of proportions to determine the height of the loading dock DE.
The proportion of the distances AB and BC is the same as the proportion of the heights BC and DE:
AB / BC = BC / DE
Substituting the given values:
12 / 4 = 4 / DE
Cross-multiplying and solving for DE:
12 * DE = 4 * 4
DE = (4 * 4) / 12
DE = 16 / 12
DE = 4 / 3
Therefore, the height of the loading dock DE is 4/3 meters.
For question 17:
To maintain the ratio of white to striped golf balls when adding 112 balls, you need to determine the number of white and striped balls to add.
Let W be the number of white balls to add, and S be the number of striped balls to add.
Given the current ratio of white to striped balls is 10:6, which can be simplified to 5:3, the equation to solve is:
W / S = 5 / 3
To find the values of W and S, you can set it up as an equation.
W = (5/3) * S
Since a total of 112 balls are added, you can add the white and striped balls together:
W + S = 112
Now substitute the value of W from the first equation into the second equation:
(5/3) * S + S = 112
To simplify the equation, multiply through by 3 to eliminate the fraction:
5S + 3S = 112 * 3
8S = 336
S = 336 / 8
S = 42
Now substitute the value of S back into the equation W + S = 112:
W + 42 = 112
W = 112 - 42
W = 70
Therefore, the golfer should add 70 white golf balls and 42 striped golf balls to maintain the ratio.
For question 19:
To determine if the two polygons are similar, you need to compare their corresponding sides' ratios.
For the given polygons:
PQ = 8 ft, QR = 13 ft, RS = 8 ft
TU = 5.2 ft, UV = 2.4 ft, VW = 5.2 ft
To check if they are similar, you can compare the ratios:
PQ / TU = QR / UV = RS / VW
Substituting the values:
8 / 5.2 = 13 / 2.4 = 8 / 5.2
To simplify the ratios:
1.538 = 5.417 = 1.538
Since all three ratios are equal, we can conclude that the polygons are similar.
Therefore, your answer is correct, and the polygons are similar.